Welcome to Guess 3/4 of the Average!In this game, you will do one thing: Guess a number from 0 to 100. It can be any number (including decimals like 6.5, pi, 42.424242, etc). You are allowed to pick 0 or 100.

All you do is whisper a number to me. (To whisper you type Mathdude314 in the "Whisper your comments to" field above the comment box, and write your post.)Contest ends 7/9/2015 and when we have 6 people entering.You may only whisper one number. If you change your mind, please edit your first post, then whisper "I changed my mind, please read".

* DO NOT chat about strategies.* I participate too, but my number is decided beforehand, since I\'m the one managing the game.* DO NOT pick outside the range [0, 100].* It must be possible for me to decode it. So Vanderwaal, your trick is allowed, since it\'s a solvable integral.

The gold medal goes to BioManiac R2, however he loses it for messing up the results TWICE.The silver medal goes to YSNP.The bronze medal goes to Xyuzhg.

4th place: Mathdude3145th place: Vanderwaal6th place: puzzle geek

Other prizes (I'm going to give a prize to everyone, just because...):The Most Logical Response goes to Mathdude314 for having the lowest number!The Most Creative Choice award goes to Vanderwaal, for putting the answer in the form of a calc problem, plus usnig the exchange rate.The Consolation Prize goes to puzzle geek for being the farthest from the result.-----------------3.14159265358979323846264338327950288... Nothing Here

[Whisper Mathdude314 >>> Vanderwaal]You never actually told me your number. You just gave me a calculus problem. I can do it easily. Except that e^x log(x) part. Is log(x) the natural log or the log base 10? Calculators (at least where I live) use log(x) for base 10. Well, I still have approximate integration, and since I am only using three decimal places anyway...

Your integral has three terms, (0.51x)^π, 0.75(e^x)log(x), and -8sin(10x).

For the first term, the answer is simply (0.51π)^(π+1), times 100/51. This is about 13.813.The second term has a derivative that's not an elementary function. So I approximated it to 16.1387 with my computer. Multiplying by 0.75 gives 12.104.The third term is obviously 0. (It's effectively 8/10 sin(u) from 0 to 10π, which has five intervals of length 2π that all cancel.)

The result is 25.917. If you meant log base 10 in the second term, then you only add 5.2567 in the second step, giving 19.070.

And yes, this is Mathdude314, not Xyuzhg.-----------------3.14159265358979323846264338327950288... Nothing Here

As of 7/9 at 2:40 UTC, it's...Me (pre-selected at start)Vanderwaal (number not known)XyuzhgYSNPpuzzle geekBioManiac R2

We got barely enough entries and I should have finished but I'll give you until tomorrow first chance I get (it's 10:40 PM here) for those in another time zone.-----------------3.14159265358979323846264338327950288... Nothing Here

I thought people would pick low numbers, so I thought the average would be around 5-10. The people who choose numbers like 42/69/70/84, their age, address, etc would drive up the answer. I went with pi because I thought 3/4 would throw the target to around 3.75 to 7.5, and with luck, I might be able to win.

I did not expect all these high numbers.-----------------3.14159265358979323846264338327950288... Nothing Here

I didn't expect that my lazy guess of 15 (my guess in the last version) would still get so close. :P

EDIT: Oh, and now that I've actually read Mathdude's whispers, I noticed that he did Vanderwaal's integral wrong. First, reverse engineering a little bit from how Mathdude314 wrote his working, the integral required was:(url)

The mistake he made was here: "For the first term, the answer is simply (0.51π)^(π+1), times 100/51. This is about 13.813." He forgot to divide by π+1 as per standard integration rules, so actually the value should've been 3.3353, and the integral result needed to be 15.4393 (using the natural logarithm) or 8.5920 (using the common logarithm).

Yes, that whisper was definitely not me, but Mathdude314. :P

How much this would've influenced the result, I care not. :P-----------------Hopefully PA is inconsistent.

The interesting thing about my error is that it didn't change the results at all! It only moved the close call from Bio-YSNP, to me-Vand.-----------------3.14159265358979323846264338327950288... Nothing Here

Post 2 says I winthen further down it says "The results are in! The results are in! YSNP, congratulations!"then further down again you said, "my error ... didn't change the results at all! It only moved the close call from Bio-YSNP, to me-Vand."and now you say ""he told me to convert ... to DOLLARS"

I hope you realize this inconsistency leaves everyone confused, and fyi, no one actually knows what Vanderwaal told you, except you.If you want to use multiple posts to display results then be sure to edit them properly and do it right so we actually know what is going on.

He intended to submit the integral, converted to dollars at the exchange rate when I determined the result. Bio, it's not nice to edit posts until you have the whole story.-----------------3.14159265358979323846264338327950288... Nothing Here

Bio, I can attest to the fact that he had edited the results, albeit stealthily and without any public notice. You've been misinterpreting multiple Mathdude314's posts lately, it seems, so you should hold back a little from direct post editing.-----------------Hopefully PA is inconsistent.

[on the third day] I see you finally got around to making sense of it all, although I only edited it once, and never messed anything up since it was wrong anyway...

Xyuzhg, he had not edit it before I did. Vanderwaal's entry that I changed stated ~17.2 and I changed it to ~15.4 (the result you posted of the integral), a difference of 1.8, which now it says Vanderwaal's entry is 16.99 which is not what I edited it from. Therefore I conclude I edited it before he did (unless he edited it but was still wrong...)

... I don't think the exchange rate has changed that much in 2 days has it ? O_o ...

that aside, although I do think the idea of varying answers relying on some other form of conversion such as currency is interesting, it needs to be stated when that exchange is to be calculated and it needs to be stated what values will be used for the conversion. This will eliminate discrepancy and confusion.

I think it should be said what the entry was in the first post (er, in this case second) as it was submitted. You only provided the numerical representation of the numbers, cropped off at 4 digits. This would be where the conversion numbers would be stated, next to entries simply copy/pasted from the whisper. Ie, your entry says the pi symbol, mine pi^2, Vanderwaal's shows the integral and conversion, etc.

example:

Mathdude: (pi) = 3.14159

Bio: (pi)^2 = 9.8696

Vanderwaal: integral from 0 to PI of (.51x)^PI ... (or just show the picture, simply copy paste what he whispered you) ... with conversion (also copy pasted) ... at time (this part says when, and what conversion is required) ... = ...

I don't know which exchange rate Math used, but four days ago, 11 july 2015, the exchange rate was about €1 = $1.1156. http://www.x-rates.com/graph/?from=E... For some reason the exchange rate was almost the same the whole day, so I suppose the exact time isn't even important.

now THAT is a good post. Thank you Vanderwaal for clearly explaining why everything is the number it is. Thumbs up !!

I will let Mathdude314 edit his first post so I that I don't make him mad... again

I want to say again that I do really like this dynamic number Idea, but again, the day of the results, all the entries should look like Vanderwaal's above (if necessary) and be well explained and documented.

Nah, I'll just require that the number has to be obtainable when you write it. So you can give me a calculus problem but you can't do exchange rate tricks.-----------------3.14159265358979323846264338327950288... Nothing Here